Information on Result #669116
Linear OA(4920, 5764902, F49, 5) (dual of [5764902, 5764882, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(491, 50, F49, 1) (dual of [50, 49, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(492, 50, F49, 2) (dual of [50, 48, 3]-code or 50-arc in PG(1,49)), using
- extended Reed–Solomon code RSe(48,49) [i]
- Hamming code H(2,49) [i]
- algebraic-geometric code AG(F, Q+22P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- linear OA(4917, 5764802, F49, 5) (dual of [5764802, 5764785, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.